Posted by Julie on Thursday, April 22, 2010 at 11:44pm.
I can't believe they did not give you the units (dimensions) of acceleration along the number. In physics, that is a no-no. I will assume the units are m/s^2.
The acceleration of the moon toward the Earth is V^2/R = 2.7*10^-3 m/s^2
Since they told you the value of R, you can solve for V.
For the period P of one revolution can be obtained from for
V P = 2 pi R
P should turn out to be about 27 days. A month is a bit longer because the moon must travel more than one revolution to get back to the same phase, as a result of the Earth-moon system's motion around the sun
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